3830956800 has 648 divisors, whose sum is σ = 14865954768. Its totient is φ = 865075200.

The previous prime is 3830956769. The next prime is 3830956819. The reversal of 3830956800 is 86590383.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39494352 + ... + 39494448.

Almost surely, 2^3830956800 is an apocalyptic number.

3830956800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432977384).

3830956800 is an abundant number, since it is smaller than the sum of its proper divisors (11034997968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3830956800 is a wasteful number, since it uses less digits than its factorization.

3830956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3830956800 is about 61894.7235230920. The cubic root of 3830956800 is about 1564.7168217880.

The spelling of 3830956800 in words is "three billion, eight hundred thirty million, nine hundred fifty-six thousand, eight hundred".